# Thread: General solution

1. ## General solution

Not sure how to go about this....

Find the
general solution to the equation:

x+2y(x^2+1) dy/dx = 0.

Could anyone explain? Thanks.

2. That's a separable differential equation. Write it as (in other words, separate it!) $2ydy= -x\sqrt{x^2+ 1}dx$ and integrate both sides. To do the x integration, let $u= x^2+ 1$.